What is the general solution for pi/3 cos((pix)/6)=0,x ?

The general solution for pi/3 cos((pix)/6)=0,x is No Solution for x\in\mathbb{R}

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pi/3 cos((pix)/6)=0,x

\frac{π}{3} cos (\frac{π x}{6}) = 0, x

No Solution for x \in R

Solution steps

\frac{π}{3} cos (\frac{π x}{6}) = 0, x

Multiply both sides by

3

π cos (\frac{π x}{6}) = 0

Divide both sides by

π

cos (\frac{π x}{6}) = 0

General solutions for

cos (\frac{π x}{6}) = 0

\frac{π x}{6} = \frac{π}{2} + 2 πn, \frac{π x}{6} = \frac{3 π}{2} + 2 πn

Solve

\frac{π x}{6} = \frac{π}{2} + 2 πn : x = 3 + 12 n

Solve

\frac{π x}{6} = \frac{3 π}{2} + 2 πn : x = 9 + 12 n

x = 3 + 12 n, x = 9 + 12 n

Solutions for the range

x

No Solution for x \in R

cos (θ) = \frac{4}{3.92739}

sin (x) + sin (\frac{π}{2} - x) = 0

(- \frac{1}{4}) + cos^{2} (x) = 1

x, e^{s i n (x)} = e^{- s i n (x)}

\frac{cos ( x )}{sin ( x )} = tan (x)

What is the general solution for pi/3 cos((pix)/6)=0,x ?
The general solution for pi/3 cos((pix)/6)=0,x is No Solution for x\in\mathbb{R}